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Finding the Third Proportional to 218,313 and 475,067.25

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Solution

The third proportional to 218,313 and 475,067.25 is: 1,033,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,313 : 475,067.25 = 475,067.25 : x
  2. Step 2: Convert to fraction form
    218,313/475,067.25 = 475,067.25/x
  3. Step 3: Cross multiply
    218,313x = 475,067.25 × 475,067.25
  4. Step 4: Simplify right side
    218,313x = 225,688,892,022.56
  5. Step 5: Solve for x
    x = 225,688,892,022.56/218,313
  6. Step 6: Final answer
    x = 1,033,785.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.